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miller_prealgebra_2e_ch1_3

110 Chapter 2 Integers and Algebraic Expressions Translating to a Mathematical Expression Example 6 Translate the phrase into a mathematical expression. Then simplify. a. The quotient of 26 and 13 b. 45 divided by 5 c. 4 divided into 24 Solution: a. The word quotient implies division. The quotient of 26 and 13 translates to 26 1132. 26 1132 2 Simplify. b. 45 divided by 5 translates to 45 5. 45 5 9 Simplify. c. 4 divided into 24 translates to 24 142. 24 142 6 Simplify. Applying Division of Integers Example 7 Between midnight and 6:00 A.M., the change in temperature was 18F. Find the average hourly change in temperature. Solution: In this example, we have a change of 18F in temperature to distribute evenly over a 6-hr period (from midnight to 6:00 A.M. is 6 hr).This implies division. 18 6 3 Divide 18F by 6 hr. The temperature changed by 3F per hour. Skill Practice Translate the phrase into a mathematical expression. Then simplify. 24. The quotient of 40 and 4 25. 60 divided by 3 26. 8 divided into 24 Skill Practice 27. A severe cold front blew through Atlanta and the temperature change over a 6-hr period was 24F. Find the average hourly change in temperature. Answers 24. 40 142; 10 25. 60 132; 20 26. 24 182; 3 27. 4F Section 2.4 Practice Exercises Study Skills Exercise Students often learn a rule about signs that states “two negatives make a positive.” This rule is incomplete and therefore not always true. Note the following combinations of two negatives: the sum of two negatives the opposite of a negative the opposite of an absolute value the product of two negatives 2 142 152 010 0 132 162 Simplify the expressions to determine which are negative and which are positive. Then write the rule for multiplying two numbers with the same sign. 2 142 152 010 0 132 162 When multiplying two numbers with the same sign, the product is .


miller_prealgebra_2e_ch1_3
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